{{Information |Description={{en|1=Togliatti Surface with w=1, bounded by a sphere with radius=6}} |Source={{own}} |Author=Claudio Rocchini |Date= |Permission=cc-by-3.0 |other_versions= }}
ไฟล, togliatti, surface, ไฟล, ประว, ไฟล, หน, าท, ภาพน, การใช, ไฟล, วนกลางขนาดของต, วอย, างน, กเซล, ความละเอ, ยดอ, กเซล, กเซล, ภาพท, ความละเอ, ยดส, งกว, 8206, กเซล, ขนาดไฟล, โลไบต, ชน, ดไมม, image, ปภาพหร, อไฟล, เส, ยงน, นฉบ, บอย, คอมมอนส, รายละเอ, ยดด, านล, าง. ifl prawtiifl hnathimiphaphni karichiflswnklangkhnadkhxngtwxyangni 600 600 phikesl khwamlaexiydxun 240 240 phikesl 480 480 phikesl duphaphthimikhwamlaexiydsungkwa 8206 800 800 phikesl khnadifl 163 kiolibt chnidimm image png rupphaphhruxiflesiyngni tnchbbxyuthi khxmmxns raylaexiyddanlang epnkhxkhwamthiaesdngphlcak ifltnchbbinkhxmmxns khxmmxnsepnewbistinokhrngkarsahrbekbrwbrwmsuxesri thi khunsamarthchwyid khwamyx khaxthibayTogliatti surface png English Togliatti Surface with w 1 bounded by a sphere with radius 6 aehlngthima ngankhxngtw phusrangsrrkh Claudio Rocchini karxnuyat karichiflniihm cc by 3 0 Source Code Many thanks to POV Ray This is the source code include colors inc include stdinc inc background Blue camera location lt 0 12 6 gt up z right x look at lt 0 0 0 gt light source lt 120 0 120 gt rgb lt 1 0 1 0 1 0 gt light source lt 120 120 0 gt rgb lt 0 8 1 0 1 0 gt 0 5 declare my texture texture pigment rgb lt 0 8 0 8 1 gt finish phong 0 5 phong size 10 declare w 1 declare T function 64 x w pow x 4 4 pow x 3 w 10 x x y y 4 x x w w 16 x pow w 3 20 x y y w 5 pow y 4 16 pow w 4 20 y y w w 5 sqrt 5 sqrt 5 2 z sqrt 5 sqrt 5 w pow 4 x x y y z z 1 3 sqrt 5 w w 2 isosurface function T x y z threshold 0 accuracy 0 0001 max gradient 2000000 open contained by sphere lt 0 0 0 gt 6 texture my texture karxnuyatichsiththi khapheca inthanaphuthuxlikhsiththikhxngphaphhruxsuxni xnuyatihichphaphhruxsuxniphayitenguxnikhtxipniiflnixyuphayitsyyaxnuyat khriexthifkhxmmxns aebbaesdngthima xnuyataebbediywkn 3 0 tnchbbkhunsamarth thicaaebngpn thicathasaena aeckcay aelasngngandngklawtxip thicaeriyberiyngihm thicaddaeplngngandngklaw phayitenguxnikhtxipni aesdngthima khuntxngihekiyrtiecakhxngnganxyangehmaasm odyephimlingkipyngsyyaxnuyat aelarabuhakmikarepliynaeplng khunxacthaechnniidinrupaebbidkidtamkhwr aettxngimichinlksnathiaenawaphuihxnuyatsnbsnunkhunhruxkarichngankhxngkhun xnuyataebbediywkn hakkhunddaeplng epliynrup hruxtxetimnganni khuntxngichsyyaxnuyataebbediywknhruxaebbthiehmuxnkbsyyaxnuyatthiichkbnganniethannhttps creativecommons org licenses by sa 3 0 CC BY SA 3 0 Creative Commons Attribution Share Alike 3 0 true true xnuyatihkhdlxk aeckcayaela hruxddaeprexksarniphayitenguxnikhkhxngsyyaxnuyatexksaresrikhxngknu run 1 2 hruxrunid nbcaknithixxkodymulnithisxftaewresri odyimmiswnidhamaekikh immikhxkhwampkhnaaelapkhlng saenakhxngsyyaxnuyatrwmxyuinswnchux syyaxnuyatexksaresrikhxngknuhttp www gnu org copyleft fdl html GFDL GNU Free Documentation License true truekhunsamartheluxksyyaxnuyatdngklawtamtxngkarkhabrryayodyyxithyephimkhabrryaythrrthdediywephuxkhyaykhwamwaiflnimixairxngkvsTogliatti Surfaceixethmthiaesdngxyuiniflniprakxbdwyphusrangbangkhathiimmiixethmwikisnethschuxphusrangsrrkh Claudio Rocchinichuxphuichwikimiediy Rocchiniyuxaraexl http commons wikimedia org wiki User RocchinisthanalikhsiththimilikhsiththisyyaxnuyatGNU Free Documentation License version 1 2 or later nbsp xngkvsCreative Commons Attribution ShareAlike 3 0 Unported nbsp xngkvsthimakhxngiflkarsrangdngedimodyphuxpohld prawtiifl khlikwnthi ewlaephuxduiflthipraktinkhnann wnthi ewlarupyxkhnadphuichkhwamehn pccubn16 15 1 krkdakhm 2553800 800 163 kiolibt Rocchini Information Description en 1 Togliatti Surface with w 1 bounded by a sphere with radius 6 Source own Author Claudio Rocchini Date Permission cc by 3 0 other versions hnathimiphaphni hnatxipni oyngmathiphaphni erkhakhnitechingphichkhnit phuich Prame tan phichkhnitechingerkhakhnit karichiflswnklang wikixuntxipniichiflni karichbn ar wikipedia org هندسة جبرية karichbn ba wikipedia org Algebraik geometriya karichbn ca wikipedia org Geometria algebraica Eugenio Togliatti karichbn ckb wikipedia org ئەندازەی جەبری karichbn cy wikipedia org Geometreg algebraidd karichbn de wikipedia org Eugenio Giuseppe Togliatti karichbn el wikipedia org Algebrikh gewmetria Syzhthsh xrhsth Nafsika08 karichbn en wikipedia org Algebraic geometry Lame s special quartic Abelian surface Alternating algebra Bullet nose curve Trident curve Atriphtaloid Torelli theorem Moduli scheme Moishezon manifold Nagata Biran conjecture Acnode Noether s theorem on rationality for surfaces Barlow surface Horrocks Mumford bundle Nakai conjecture Bombieri Lang conjecture Hyperplane section Fermat cubic Algebraic manifold Cartan subgroup Tetrahedroid Weber s theorem Algebraic curves Butterfly curve algebraic Cubic form Arithmetic and geometric Frobenius User Rocchini Multiplicative distance Abhyankar Moh theorem Tsen s theorem Tschirnhausen cubic Imaginary curve Cylindrical algebraic decomposition Borel fixed point theorem Toric manifold Universal algebraic geometry Secant variety Horrocks bundle Semialgebraic space Valuative criterion Manin obstruction 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